I inherited a Polaroid PDC 5080 digital. I took some pictures and downloaded them,
I later deleted all the images as some were not mine.
The next day I tried to take some pictures to no avail.
The camera was used without an SD card.
It shows "No File" and "Memory Full".

How to solve above.

Manual suggests:
Image not recorded
Memory is full.
Delete images you no longer need, or uses another memory card.

hello and welcome to the forum. this is mainly a non-digital polaroid forum, except the newer cameras which print photos as well. so we aren't experts in the polaroid digital.

try to connect your camera to your computer and have a look whether the files are still there. maybe deleting them didn't work well. delete them via the computer. another solution would be to buy a memory card, they are dirt cheap. please regard the maximum size that the camera supports. bigger cards won't work at all. good luck!